This question has two parts. The admission ticket to a baseball game is $5 for children and $9 for adults. On a certain night,

900 people were present at the baseball game and $6,500 was collected. How many children

attended the baseball game?

Part A

Write a system of equations, and solve it to find the number of children that attended the

baseball game.

Write your answers and your work or explanation in the space below.

x + y = 900

5x + 9y = 6500

400 children

Step-by-step explanation:

Let:

Children = x ; adult = y

x + y = 900 - - - (1)

5x + 9y = 6500 - - - (2)

From (1)

y = 900 - x

Put y = 900 - x in (2)

5x + 9(900 - x) = 6500

5x + 8100 - 9x = 6500

-4x = 6500 - 8100

-4x = - 1600

x = 1600 / 4

x = 400

(-5,-28)

i graphed to on desmos.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!